We study the cross-correlation between maps of the unresolved $\gamma$-ray background constructed from the 12-year data release of the Fermi Large-Area Telescope, and the overdensity of galaxies in the redshift range $z\lesssim 0.4$ as measured by the 2MASS photometric redshift survey and the WISE-SuperCOSMOS photometric survey. A signal is detected at the $8-10\sigma$ level, which we interpret in terms of both astrophysical $\gamma$-ray sources, and weakly interacting massive particles (WIMP) dark matter decay and annihilation. The sensitivity achieved allows us to characterise the energy and redshift dependence of the signal, and we show that the latter is incompatible with a pure dark matter origin. We thus use our measurement to place an upper bound on the WIMP decay rate and the annihilation cross section, finding constraints that are competitive with those found in other analyses. Our analysis is based on the extraction of clean model-independent observables that can then be used to constrain arbitrary astrophysical and particle physics models. In this sense we produce measurements of the $\gamma$-ray emissivity as a function of redshift and rest-frame energy $ϵ$, and of a quantity $F(ϵ)$ encapsulating all WIMP parameters relevant for dark matter decay or annihilation. We make these measurements, together with a full account of their statistical uncertainties, publicly available.

中文翻译：

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断层扫描 γ 射线互相关对暗物质和天体物理学的约束

我们研究未解决的地图之间的互相关性$\gamma$根据费米大面望远镜12年发布的数据构建的射线背景，以及红移范围内的星系密度过高$z\lesssim 0.4$通过 2MASS 光度红移巡天和 WISE-SuperCOSMOS 光度巡天测量。检测到信号$8-10\sigma$水平，我们用天体物理学来解释$\gamma$-射线源和弱相互作用大质量粒子（WIMP）暗物质衰变和湮灭。所达到的灵敏度使我们能够表征信号的能量和红移依赖性，并且我们表明后者与纯暗物质起源不相容。因此，我们使用我们的测量结果对 WIMP 衰变率和湮没截面设定上限，找到与其他分析中发现的约束相竞争的约束。我们的分析基于提取干净的与模型无关的可观测量，然后可以将其用于约束任意天体物理和粒子物理模型。从这个意义上说，我们测量了$\gamma$- 射线发射率与红移和静止帧能量的关系$\epsilon$，并且有一定数量$F（\epsilon ）$封装与暗物质衰变或湮灭相关的所有 WIMP 参数。我们公开了这些测量结果及其统计不确定性的完整说明。